/*=========================================================================
 Authors: Michael Kazhdan and Matthew Bolitho
 at Johns Hopkins University, 2006-10

 Copyright (c) 2006-10, Michael Kazhdan and Matthew Bolitho,
 Johns Hopkins University.
 All rights reserved.

 Redistribution and use in source and binary forms, with or without
 modification, are permitted provided that the following conditions are met:

 Redistributions of source code must retain the above copyright notice,
 this list of conditions and the following disclaimer.
 Redistributions in binary form must reproduce the above copyright notice,
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 and/or other materials provided with the distribution.
 Neither the name of the Johns Hopkins University nor the names of its
 contributors may be used to endorse or promote products derived from this
 software without specific prior written permission.

 THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO,
 THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
 PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS
 BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY,
 OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT
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=========================================================================*/

#ifndef POLYNOMIAL_INCLUDED
#define POLYNOMIAL_INCLUDED

#include <vector>

template< int Degree >
class Polynomial
{
public:
  double coefficients[Degree + 1];

  Polynomial(void);
  template< int Degree2 >
  Polynomial(const Polynomial< Degree2 > & P);
  double operator()(const double & t) const;

  double integral(const double & tMin, const double & tMax) const;

  int operator==(const Polynomial & p) const;

  int operator!=(const Polynomial & p) const;

  int isZero(void) const;

  void setZero(void);

  template< int Degree2 >
  Polynomial & operator=(const Polynomial< Degree2 > & p);

  Polynomial & operator+=(const Polynomial & p);

  Polynomial & operator-=(const Polynomial & p);

  Polynomial operator-(void) const;

  Polynomial operator+(const Polynomial & p) const;

  Polynomial operator-(const Polynomial & p) const;

  template< int Degree2 >
  Polynomial< Degree + Degree2 >  operator *(const Polynomial< Degree2 > & p) const;

  Polynomial & operator+=(const double & s);

  Polynomial & operator-=(const double & s);

  Polynomial & operator*=(const double & s);

  Polynomial & operator/=(const double & s);

  Polynomial operator+(const double & s) const;

  Polynomial operator-(const double & s) const;

  Polynomial operator *(const double & s) const;

  Polynomial operator/(const double & s) const;

  Polynomial scale(const double & s) const;

  Polynomial shift(const double & t) const;

  Polynomial< Degree - 1 > derivative(void) const;

  Polynomial< Degree + 1 > integral(void) const;

  void printnl(void) const;

  Polynomial & addScaled(const Polynomial & p, const double & scale);

  static void Negate(const Polynomial & in, Polynomial & out);

  static void Subtract(const Polynomial & p1, const Polynomial & p2, Polynomial & q);

  static void Scale(const Polynomial & p, const double & w, Polynomial & q);

  static void AddScaled(const Polynomial & p1,
                        const double & w1,
                        const Polynomial & p2,
                        const double & w2,
                        Polynomial & q);

  static void AddScaled(const Polynomial & p1, const Polynomial & p2, const double & w2, Polynomial & q);

  static void AddScaled(const Polynomial & p1, const double & w1, const Polynomial & p2, Polynomial & q);

  void getSolutions(const double & c, std::vector< double > & roots, const double & EPS) const;
};

#include "Polynomial.inl"
#endif // POLYNOMIAL_INCLUDED
